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Finding the Fourth Proportional to 209,815.80, 314,723.70 and 97,495.80

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Solution

The fourth proportional to 209,815.80, 314,723.70 and 97,495.80 is: 146,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,815.80 : 314,723.70 = 97,495.80 : x
  2. Step 2: Convert to fraction form
    209,815.80/314,723.70 = 97,495.80/x
  3. Step 3: Cross multiply
    209,815.80x = 314,723.70 × 97,495.80
  4. Step 4: Simplify right side
    209,815.80x = 30,684,238,910.46
  5. Step 5: Solve for x
    x = 30,684,238,910.46/209,815.80
  6. Step 6: Final answer
    x = 146,243.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.